An experiment consists of tossing 3 fair (not weighted) coins, except one of the 3 coins has a head on both sides. Compute the probability of obtaining less than 2 heads. The probability of obtaining less than 2 heads is (Type an integer or a simplified fraction.)

Answer:

49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

x = 3, f(3) = 27

x = 5, f(5) = 125

Step 2: Find Rate

Answer:

49

Step-by-step explanation:

Ap3x

Answer: $329.05

Step-by-step explanation:

Since she pays $245.82 monthly and she is paying for 6 months, the amount paid will be:

= $245.82 × 6

= $1474.92

Since she buys the full golf club set for $1,145.87, then her finance charge will be:

= $1474.92 - $1,145.87

= $329.05

The finance charge is $329.05

It is more convenient to integrate with respect to y.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To sketch the region enclosed by the curves y = 3x² and y = 5x - 2x² and determine whether to integrate with respect to x or y, we can analyze the intersection points and the shape of the curves.

First, let's find the intersection points by setting the equations equal to each other:

3x² = 5x - 2x²

Combining like terms:

5x² - 5x = 0

Factoring out x:

x(5x - 5) = 0

Solving for x:

x = 0 or x = 1

So the curves intersect at x = 0 and x = 1.

Next, we can analyze the behavior of the curves to determine the orientation of the region.

For y = 3x², we have a parabola that opens upwards. This curve lies below the x-axis and is symmetric with respect to the y-axis.

For y = 5x - 2x², we have a downward-opening parabola. This curve lies above the x-axis and is symmetric with respect to the y-axis.

Based on this information, we can sketch the region enclosed by the curves.

The region enclosed by the curves is bounded by the curves themselves and the x-axis. It is the area between the curves from x = 0 to x = 1.

To determine whether to integrate with respect to x or y, we can observe that the region is vertically oriented, meaning it extends vertically between the curves.

Therefore, it is more convenient to integrate with respect to y.

To draw a typical approximating rectangle, we can choose a small interval along the y-axis and draw a rectangle that spans between the curves for that particular y-interval. This rectangle will represent an approximation of the region's area.

Hence, it is more convenient to integrate with respect to y.

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Step-by-step explanation:

this looks totally like

f(x) = 1/3 x - 3

to me.

because

f(0) = -3

f(3) = -2

f(6) = -1

so, f(9) = 1/3 × 9 - 3 = 3 - 3 = 0

f(9) = 0

you did not list that as answer option, but that is the correct answer.

Answer:

6

Step-by-step explanation:

Answer:

the answer is B

x = 1

Step-by-step explanation:

the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1

Answer:

-7j +3

Step-by-step explanation:

-5j -2j +3

-7j +3

like terms are combined. combine the js

The quadratic equations are solved and answered below -

An equation is a mathematical statement showing the equivalence of two mathematical expressions. Example -

3x + 5 = 8

Given is -

3x² - 7 = 31

2x² + 18 = 0

4x² - 26 = - 50

2x² + 36 = x²

We have -

3x² - 7 = 31

3x² = 38

x² = 38/3

x² = 12.67

x = ±3.56

2x² + 18 = 0

2x² = - 18

x² = -9

x = ±3i

4x² - 26 = - 50

4x² = - 24

x² = -6

x = ±√6i

2x² + 36 = x²

x² = - 36

x = ±√6 i

Therefore, the quadratic equations are solved above.

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The statement "If A is in NP, proving that A is in P is sufficient to show that P = NP" is not true. The question of whether P equals NP is one of the unsolved problems in computer science, and it remains an open question whether P is equal to NP or not.

The complexity classes P and NP refer to different sets of problems. P (polynomial time) contains problems that can be solved by a deterministic Turing machine in polynomial time, while NP (nondeterministic polynomial time) contains problems that can be verified in polynomial time by a nondeterministic Turing machine.

Proving that a problem A in NP is in P means that there exists a polynomial-time algorithm to solve A. This implies that A is at least as easy as the hardest problems in P. However, it does not automatically imply that P = NP.

To show that P = NP, one would need to prove that every problem in NP can be solved in polynomial time. This would require a much broader and more significant result than just proving that a single problem in NP is in P.

Until now, no one has been able to prove or disprove P = NP. It remains an open question in computer science and mathematics, and it is considered one of the most important unsolved problems in the field.

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Answer:

34

Step-by-step explanation:

Substitute the values.

s = 3 and t = -2

8s-5t

8 (3) - 5(-2)

( 8 x 3 ) - ( 5 x -2 )

24 + 10 [ - x - = + ]

= 34

Answer:

The triangle is isosceles.

Step-by-step explanation:

WHY?:

An Isosceles Triangle will have both 2 equal sides and 2 equal angles.

A Equilateral Triangle will have 3 equal sides and 3 equal angles.

A Scalene angle is when all 3 sides have different lengths.

and

A right triangle will have a 90 degree angle.

In triangle LMN, LM is perpendicular on side MN. So that, the triangle LMN is right angle triangle.

To understand more, check below explanation.

A triangle whose all three sides has different length known as scalene triangle.

A triangle in which all three sides are equal in length known as equilateral triangle.

A triangle in which two sides are equal are known as isosceles triangle.

A triangle in which one angle is 90 degrees known as right angle triangle.

Since, In traingle LMN, LM is perpendicular on MN. Therefore, LMN is right angle triangle.

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Based on the line and the points that it goes through, the equation with the same proportional relationship as the graph is y = three-fifths x.

To find the relationship of the points on the line in the coordinate plane, you need to find the slope of the line. The slope can be found by the formula:

= Change in y / Change in x

Solving for the slope gives:

= (3 - 0) / (5 - 0)

= 3 / 5

For equations to be proportional, they need to have the same slope. With the slope of the line being 3/5, the equation that would have the same proportional relationship is:

y = 3/5x

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a. 80% of 90 is the same as of 90 - False

b. 45% of 60 is 27 - True

c. 20% of 90 is the same as as of 90- True

d. 25 is 35% of 80 -False

a. 80% of 90 is not the same as 90. To find 80% of 90, we multiply 90 by 0.8, which gives us 72. Therefore, the statement is false.

b. To find 45% of 60, we multiply 60 by 0.45, which gives us 27. Therefore, the statement is true.

c. 20% of 90 is the same as of 90. To find 20% of 90, we multiply 90 by 0.2, which gives us 18. Therefore, the statement is true.

Lastly, for question d. 25 is not 35% of 80. To find 35% of 80, we multiply 80 by 0.35, which gives us 28. Therefore, the statement is false.

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Answer: 142 sq. ft

Step-by-step explanation: decompose the figure into two figures. Then, find the length and the width of each figure and find their separate areas. Lastly, add the two areas together to get the total area.

The equation to represent this situation is 6 - (1/5)x  = 11 - (2/5)x , and the number is 25  .

in the question ,

a situation is given , where

6 is lessened by  (1/5) of a number

let the number be \(=\) "x"

which means 6 - (1/5)x

and (2/5) of the number is subtracted from 11

which is 11 - (2/5)x

Since both are equivalent , the equation becomes

6 - (1/5)x  = 11 - (2/5)x

(2/5)x - (1/5)x = 11 - 6

(1/5)x = 5

x = 25

Therefore , The equation to represent this situation is 6 - (1/5)x  = 11 - (2/5)x , and the number is 25  .

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a). We have proved all the given conditions.

b). It is true that condition 3 holds for all regular languages L1 and L2.

(a) Regular languages L1 and L2 can be suggested as follows:

Let \(L_1={0^{(n+1)} | n\geq 0}\)

and

\(L_2={1^{(n+1)} | n\geq 0}\)

We have to prove three conditions:1. L1 ⊈ L2:

The given languages L1 and L2 both are regular but L1 does not contain any string that starts with 1.

Therefore, L1 and L2 are distinct.2. L2  L1:

The given languages L1 and L2 both are regular but L2 does not contain any string that starts with 0.

Therefore, L2 and L1 are distinct.3. (L1 ∪ L2)* = L1* ∪ L2*:

For proving this condition, we need to prove two things:

First, we need to prove that (L1 ∪ L2)* ⊆ L1* ∪ L2*.

It is clear that every string in L1* or L2* belongs to (L1 ∪ L2)*.

Thus, we have L1* ⊆ (L1 ∪ L2)* and L2* ⊆ (L1 ∪ L2)*.

Therefore, L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Second, we need to prove that L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Every string that belongs to L1* or L2* also belongs to (L1 ∪ L2)*.

Thus, we have L1* ∪ L2* ⊆ (L1 ∪ L2)*.

Therefore, (L1 ∪ L2)* = L1* ∪ L2*.

Therefore, we have proved all the given conditions.

(b)It is true that condition 3 holds for all regular languages L1 and L2.

This can be proved by using the fact that the union of regular languages is also a regular language and the Kleene star of a regular language is also a regular language.

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Answer:

parallel

Step-by-step explanation:

two lines in two spots but same angle

B. 63

some simple googling would've been able to help you with this. but 0 isn't prime or composite, not sure about 1, 19 is prime, 63 is a definite composite

Answer:

46

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

First get x

x= (20/10) * 100

x=200

23% of 200 = (23*200)/100 = 46

The researchers who developed predator prey models that accounted for resource limitations experienced by the prey. The correct answer is d. Rotondweig and MacArthur.

Rotondweig and MacArthur are the researchers who developed predator-prey models that considered the resource limitations experienced by the prey. Their models built upon the earlier work of Gause, Verhulst, and other researchers in population ecology. Rotondweig and MacArthur's models improved upon earlier models by incorporating the concept of limited resources and their effect on prey population dynamics.
The predator-prey models created by Rotondweig and MacArthur consider how the availability of resources influences the interactions between predators and their prey. In these models, the prey's population growth is regulated not only by the predation rate but also by the carrying capacity of their environment, which is determined by the availability of resources. As a result, their models provide a more realistic representation of natural ecosystems.
To summarize, the researchers responsible for developing predator-prey models that accounted for resource limitations experienced by the prey are Rotondweig and MacArthur. Their models improved upon earlier work by incorporating the concept of limited resources and their effect on prey population dynamics.

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Answer:

-2-24i

Step-by-step explanation:

vector addition

let x be the value without the vector I

x+7+5=10

x=10-12

x=-2

let y be the value with the vector I

y-3+9+13= -5

y +19= -5

y= -24

To estimate the mean monthly earnings of students at Norco College with a 95% confidence level and a margin of error of $150, a minimum sample size of 61 students is required.

To find the minimum sample size needed (n) to estimate the mean monthly earnings of students at Norco College with a 95% confidence level and a margin of error of $150, we can use the formula:

n = (Z * o / ME)^2

where Z is the Z-score corresponding to the desired confidence level, o is the population standard deviation, and ME is the margin of error.

Given the information:

Confidence level = 95%

Margin of error (ME) = $150

Population standard deviation (o) = $625

First, we need to find the Z-score corresponding to a 95% confidence level. The Z-score for a 95% confidence level is approximately 1.96.

n = (1.96 * 625 / 150)^2

  = (1.96 * 4.1667)^2

  ≈ 7.7532^2

  ≈ 60.05

The minimum sample size needed (n) is approximately 60.05. Since we cannot have a fraction of a person, we would round up to the nearest whole number. Therefore, the minimum sample size needed is 61.

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Answer: 22 2/3 feet

Step-by-step explanation:

From the question, a concrete company pours 8 sections of sidewalk each of which is 2 5/6 feet long. The length of the entire sidewalk that the concrete company pours will be calculated by multiplying 8 by 2 5/6 feet. This will be:

= 8 × 2 5/6

= 8 × 17/6

= 136/6

= 22 2/3 feet

To find the measure of angle C in triangle ABC, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and opposite angles A, B, and C:c^2 = a^2 + b^2 - 2abcos(C)In this case, we know that AB = 7, BC = 8, and AC = 9. Plugging these values into the Law of Cosines equation and solving for cos(C), we get:cos(C) = (7^2 + 9^2 - 8^2) / (2 * 7 * 9)

cos(C) = 0.6111111Taking the inverse cosine (cos^-1) of 0.6111111, we get the angle C:C = cos^-1(0.6111111)

C ≈ 51.96 degreesTherefore, to the nearest degree, m∠C ≈ 52 degrees.

Answer:

48°

Step-by-step explanation:

Use the Law of Cosines.

c² = a² + b² - 2ab cos C

7² = 8² + 9² - 2(8)(9) × cos C

49 = 145 - 144 cos C

-144 cos C = -96

cos C = 2/3

C = 48.196...°

Answer: 48°

The better survey would be when the possibility of adults in favour of fee and not in favour of fee is same that is 50% each.

Everything in surveys revolves around asking the appropriate questions in the right ways since they are meant to elicit feedback. Many polls purposefully and unintentionally ask one-sided questions.

An objective question attempts to avoid using leading language and is fact-based rather than judgmental.

Biased questionnaire items use word choice and sentence structure in a way that affects how respondents react. This is sometimes done on purpose. This usually happens as a result of inadequate survey planning and assessment.

Here are a few advices.

Given query:

Thus, the better survey would be when the possibility of adults in favour of fee and not in favour of fee is same that is 50% each.

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Mia’s distance from the river is decreasing in the interval  0 < t < 2.5 and

Mia drives 100 miles to the beach.

The complete question is added at the end of this solution as an attachment

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we can see that the values of the graph decrease from t = 0 to t = 2.5

When represented as an interval, we have

0 < t < 2.5

Hence, the decreasing interval is 0 < t < 2.5

From the graph, we can see that the distance travelled in each half is 50 miles

So, the total distance is

total =50 + 50

Evaluate

total = 100

Hence, the total distance travelled is 100 miles

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Complete question

Mia crosses a river when she drives from her house to the beach. The graph of the function d(t) = 40|t − 1.25| shows Mia’s distance from the river d, in miles, after t hours.

The domain of the function is 0 ≤ x ≤ 2.5. The graph shows her entire trip

Complete each sentence to make a true statement.

Mia’s distance from the river is decreasing in the interval  Choose... 0 < t < 1.25 or 1.25 < t < 2.5  .

Mia drives  Choose... 40 or 80 or 60 or 100  miles to the beach.

The weekly deduction, including FICA per week is a $60.

According to the statement

We have to find that the weekly deduction.

So, For this purpose, we know that the

A percentage is a number or ratio expressed as a fraction of 100.

From the given information:

Jessica makes $24,000 a year, but receives weekly paychecks. If 12% of her

check is withheld for federal taxes, what is her required weekly deduction,

including FICA?

Then

Jessica makes in a year = $24,000

Jessica makes per week = $24,000 / 48

Jessica makes per week = 500

Then

The weekly deduction of the sale tax = 12% of week payment

The weekly deduction = 12% of 500

The weekly deduction = 12/100*500

The weekly deduction = $60

So, The weekly deduction, including FICA per week is a $60.

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Answer:

The number of years it will take for Francesca to grow 6 inches is 12 years

Step-by-step explanation:

The height to which Francesca is growing, Δh/Δt = 1/2 inch per year

The number of years, 'Δt', it will take her to grow 6 inches given as follows;

Δh/Δt = 1/2 inch/year

Δh = 1/2 inch/year × Δt

When Francesca grows 6 inches, we have;

Δh = 6 inches

∴  Δh = 6 inches = 1/2 inch/year × Δt

6 inches = 1/2 inch/year × Δt

Δt = 6 inches/(1/2 inch/year) = 12 years

The number of years it will take for Francesca to grow 6 inches, Δt = 12 years